In mathematics, the relationship between place values involves multiplying or dividing a number by a power of 10. Let’s explore the concepts of “10 times more” and “100 times more or less” to understand these relationships.
- 10 times more: When we say a number is “10 times more” than another number, it means that it is obtained by multiplying the original number by 10. For example, if we have the number 5 and we want to find a number that is 10 times more, we multiply 5 by 10: 5 x 10 = 50. So 50 is 10 times more than 5.
Similarly, if we start with a number like 120 and want to find a number that is 10 times more, we multiply 120 by 10: 120 x 10 = 1200. So 1200 is 10 times more than 120.
- 100 times more or less: When we say a number is “100 times more” than another number, it means that it is obtained by multiplying the original number by 100. For example, if we have the number 3 and we want to find a number that is 100 times more, we multiply 3 by 100: 3 x 100 = 300. So 300 is 100 times more than 3.
On the other hand, if we say a number is “100 times less” than another number, it means that it is obtained by dividing the original number by 100. For example, if we have the number 500 and we want to find a number that is 100 times less, we divide 500 by 100: 500 ÷ 100 = 5. So 5 is 100 times less than 500.
To summarize:
- To find a number that is 10 times more, multiply the original number by 10.
- To find a number that is 100 times more, multiply the original number by 100.
- To find a number that is 100 times less, divide the original number by 100.
These relationships help us understand how numbers change when we multiply or divide them by powers of 10, which is fundamental in understanding the place value system.